Adaptive Multilinear SVD for Structured Tensors

@article{Boyer2006AdaptiveMS,
  title={Adaptive Multilinear SVD for Structured Tensors},
  author={R{\'e}my Boyer and Roland Badeau},
  journal={2006 IEEE International Conference on Acoustics Speech and Signal Processing Proceedings},
  year={2006},
  volume={3},
  pages={III-III}
}
The higher-order SVD (HOSVD) is a generalization of the SVD to higher-order tensors (ie. arrays with more than two indexes) and plays an important role in various domains. Unfortunately, the computational cost of this decomposition is very high since the basic HOSVD algorithm involves the computation of the SVD of three highly redundant block-Hankel matrices, called modes. In this paper, we present an ultra-fast way of computing the HOSVD of a third-order structured tensor. The key result of… CONTINUE READING
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